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Finding the Third Proportional to 170,294 and 357,704

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Solution

The third proportional to 170,294 and 357,704 is: 751,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,294 : 357,704 = 357,704 : x
  2. Step 2: Convert to fraction form
    170,294/357,704 = 357,704/x
  3. Step 3: Cross multiply
    170,294x = 357,704 × 357,704
  4. Step 4: Simplify right side
    170,294x = 127,952,151,616
  5. Step 5: Solve for x
    x = 127,952,151,616/170,294
  6. Step 6: Final answer
    x = 751,360.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.